Abstract
With the help of the singular value decomposition of the Radon transform the Tikhonov-Phillips regularization with suitable Sobolev norm is analytically computed. This allows for studying the influence of the regularization norm. Even more important is the effect of the regularization parameter which can now be studied explicitly, and optimally selected dependent on data noise and additional information on the searched-for function.
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© 1985 Birkhäuser Verlag Basel
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Louis, A.K. (1985). Tikhonov-Phillips Regularization of the Radon Transform. In: Hämmerlin, G., Hoffmann, KH. (eds) Constructive Methods for the Practical Treatment of Integral Equations. International Series of Numerical Mathematics, vol 73. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9317-6_18
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DOI: https://doi.org/10.1007/978-3-0348-9317-6_18
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9993-2
Online ISBN: 978-3-0348-9317-6
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